%0 Journal Article %T Interpolation on Jets %A J. Alexander %A A. Hirschowitz %J Mathematics %D 1997 %I arXiv %X We show that for any finite generic union of pairs $(x_i,L_i)_i$ where $x_i\in L_i$ is a point of the line $L_i$ in projective $n$-space, the divisors $m_ix_i$ on the $L_i$ have maximal rank with respect to homogeneous $d$ forms for all $d\geq 0$ and all $m_i\geq 0$ modulo the expected numerical restrictions. %U http://arxiv.org/abs/alg-geom/9703028v1